Probab. + Quad

y = 16x2 + 8(a+5)x -7a -5

Find. prob of graf of y bein STRICTLY gr8er than ZERO for x ε [-20,0]

PN : Ther is no condition given on a..... i dunno y........ i feel its an incomplete Questn .... if u tooo feel so do tell me

edited

26 Answers

13
Двҥїяuρ now in medical c ·

@wats in name

see wat the q ask...its the value of f(x)>0

you found the condition of the roots to be complex

3
msp ·

hey tapan is it a belongs to [-20,0]

11
Subash ·

@Abhirup check out the changed q in #24

13
Двҥїяuρ now in medical c ·

for diff values of a we ll get diff probability.....

the graph will be diff for diff values of a

11
Subash ·

I think the question must have been

y = 16x2 + 8(a+5)x -7a -5

Find. prob of graf of y bein STRICTLY gr8er than ZERO for not x here a ε [-20,0]

11
Subash ·

@Mrunal

12 is ok

how did you get the 20?

11
Subash ·

isnt that -D/4a

then D<0 is correct

we get a condition on a

but what is the sample space? if a can take all possible values prob would be 0

1
°ღ•๓яυΠ·

ooooooooooooo haan yaar may b they r imaginar :S

13
Двҥїяuρ now in medical c ·

how can the square of a real term be negetive

1
°ღ•๓яυΠ·

-D^2>0
so D^2<0

13
Двҥїяuρ now in medical c ·

how can D2<0 for real values

1
°ღ•๓яυΠ·

ya it says d prob d graph is > 0
means it shud b in d seond qudrant .......

so y cordinate shud b >0.......
bt y cordinate is -D^2/4a .............we noe taht
so D^2<0

so we get condition for a
nw
a can take 12 values .......

so required /total cases

13
Двҥїяuρ now in medical c ·

is it the slope of the graph >0...[12]

1
chetan wahi ·

did you miss + sign?

1
°ღ•๓яυΠ·

q is nt wrng .............

may b d given answer is wrng

13
Двҥїяuρ now in medical c ·

i think the Q is wrong

sumthing abt a must be told ...

1
Lonely 1 ·

{x}

[x]

NOW SEE THE DIFFERENCE

1
°ღ•๓яυΠ·

diffrcne of means wat u wan ?

itz
2[x]-x

21
tapanmast Vora ·

** wats the differentiation of [] and {} at non int. poits ??? o n 1 resp??

21
tapanmast Vora ·

ans given is 9/20

1
°ღ•๓яυΠ·

answer 12/20

1
°ღ•๓яυΠ·

ie
-15<a<-2

1
°ღ•๓яυΠ·

(a+5)2+(7a+5)<0

this is d condition for a

1
chetan wahi ·

no they are not at integer points

at non integral values they are differentiable..

21
tapanmast Vora ·

I genereal dbt : Are [x] and {x} differentiable ???

i.e. talking non-integral values....

13
Двҥїяuρ now in medical c ·

is it 16x2 8(a+5)x??

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